312403034341020 has 384 divisors, whose sum is σ = 1058143771238400. Its totient is φ = 67372545235968.

The previous prime is 312403034340931. The next prime is 312403034341051. The reversal of 312403034341020 is 20143430304213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91200871 + ... + 94564289.

It is an arithmetic number, because the mean of its divisors is an integer number (2755582737600).

Almost surely, 2^{312403034341020} is an apocalyptic number.

312403034341020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312403034341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529071885619200).

312403034341020 is an abundant number, since it is smaller than the sum of its proper divisors (745740736897380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312403034341020 is a wasteful number, since it uses less digits than its factorization.

312403034341020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363657 (or 3363655 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 312403034341020 its reverse (20143430304213), we get a palindrome (332546464645233).

The spelling of 312403034341020 in words is "three hundred twelve trillion, four hundred three billion, thirty-four million, three hundred forty-one thousand, twenty".